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Finding the Fourth Proportional to 493.26, 679.57 and 410.11

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Solution

The fourth proportional to 493.26, 679.57 and 410.11 is: 565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.26 : 679.57 = 410.11 : x
  2. Step 2: Convert to fraction form
    493.26/679.57 = 410.11/x
  3. Step 3: Cross multiply
    493.26x = 679.57 × 410.11
  4. Step 4: Simplify right side
    493.26x = 278,695.05
  5. Step 5: Solve for x
    x = 278,695.05/493.26
  6. Step 6: Final answer
    x = 565.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.